The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  2  1  1  0  0  1  1  0  1  2  1  1  1  2  2  1  0  0  2  1  1  0  1  2  2  1  2  0  1  1  1  1  1  1  0  1  1  2  2  2  2  2  1  1  2  2  0  0  0  1  1
 0  1  0  0  0  0  0  0  0  1  1  1  1  1  1  1  3  2  1  3  1  3  2  2  2  0  3  0  1  0  3  1  2  2  1  1  3  1  2  3  3  1  0  1  1  0  0  0  2  1  1  1  1  0  1  0  1  1  1  1  1  0
 0  0  1  0  0  0  1  1  1  0  2  0  1  3  1  1  0  1  0  2  2  2  0  3  1  1  3  1  2  1  3  3  2  3  2  1  2  1  1  0  1  3  2  2  2  2  0  1  1  2  1  1  1  0  2  1  0  2  2  0  1  0
 0  0  0  1  0  1  1  0  1  1  0  3  2  3  2  1  2  0  0  3  1  1  1  2  1  2  3  0  0  1  3  2  1  0  0  2  1  1  0  2  1  0  0  3  2  1  0  3  2  0  2  0  2  0  3  3  3  3  3  1  1  0
 0  0  0  0  1  1  0  1  1  2  3  3  0  1  3  0  3  1  0  2  3  0  3  3  3  2  3  1  3  0  2  3  1  0  3  2  1  1  2  1  3  3  0  1  3  1  1  1  3  2  0  3  1  1  1  1  0  1  2  2  1  0
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  2  0  0  2  2  0  0  2  2  0  2  2  2  0  2  0  2  0  2  0  0  0  2  0  2  0  2  0  0  2  2  0  2  0  2  2  0  0  0  2  2  0  2  0  0
 0  0  0  0  0  0  2  0  2  2  0  2  2  2  0  0  2  2  0  2  0  0  2  0  0  2  2  2  0  2  0  0  0  0  2  0  0  0  2  0  0  0  2  2  2  2  0  2  0  0  0  0  2  2  2  2  2  0  0  0  0  0
 0  0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  0  0  2  2  0  0  0  0  2  0  0  2  2  2  0  2  2  2  0  2  0  0  0  0  2  0  0  2  2  0  2  0  2  0  2  2  2  2  0  2  2  0  2  2  0  0

generates a code of length 62 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+65x^50+68x^51+167x^52+238x^53+241x^54+328x^55+408x^56+416x^57+473x^58+474x^59+492x^60+518x^61+461x^62+552x^63+469x^64+506x^65+495x^66+422x^67+312x^68+260x^69+229x^70+182x^71+176x^72+94x^73+79x^74+20x^75+20x^76+16x^77+4x^78+2x^79+2x^80+1x^84+1x^94

The gray image is a code over GF(2) with n=124, k=13 and d=50.
This code was found by Heurico 1.16 in 9.19 seconds.